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All Textbook Solutions for College Algebra (MindTap Course List)
40E41E42E43E44E45E46EGraph each equation. Be sure to find any intercepts and symmetries. Check your graph with a graphing calculator. y=x2+4x48E49E50EGraph each equation. Be sure to find any intercepts and symmetries. Check your graph with a graphing calculator. y=x-252E53E54EGraph each equation. Be sure to find any intercepts and symmetries. Check your graph with a graphing calculator. y2=-x56E57E58E59E60E61E62E63E64E65E66E67E68E69E70E71E72E73E74E75E76E77E78E79E80E81E82E83E84E85E86E87E88E89E90E91E92E93E94E95E96E97E98E99E100E101E102E103E104E105E106E107E108E109E110E111E112E113E114E115E116E117E118E119E120E121E122E123E124E125E126EApplications CB radios The CB radio of a trucker covers the circular area shown in the illustration. Find an equation of that circle, in general form.128E129E130E131E132E133E134E135E136E137E138E139E140E141E142E1SC2SC3SC4SC5SC6SC1E2E3E4E5E6E7E8E9EYou should be able to complete these vocabulary and concept statements before you proceed to the practice excercises. Fill in the blanks. In the equation y=kx2z,y varies directly with ______ and inversely with _____.11E12E13E14E15ESet up and solve a proportion to answer each question. The ratio of lime to sand in mortar is 3:7. How much lime must be mixed with 21 bags of sand to make mortar?Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.18EFind the constant of proportionality. I is inversely proportional to R. If R=20, then I=50.Find the constant of proportionality. R is inversely proportional to the square of I. If I=25, then R=100.Find the constant of proportionality. E varies jointly with I and R. If R=25 and I=5, then E=125.Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and y=5, then z=28.Solve each problem. y is directly proportional to x. If y=15 when x=4, find y when x=75.Solve each problem. w is directly proportional to z. If w=-6 when z=2, find w when z=-3.25E26E27ESolve each problem. m varies jointly with the square n and the square root of q. if m=24 when n=2 and q=4, find m when n=5 and q=9.Determine whether the graph could represent direct variation, inverse variation, or neither.30E31E32E33EApplications Set up and solve the required proportion. Caffeine Many convenience stores sell supersize 44-ounce soft drinks in refillable cups. For each of the products listed in the table, find the amount of caffeine contained in one of the supersize cups. Round to the nearest milligram. Soft Drink 12 oz Caffeine mg Mountain Dew 55 Coca-Cola Classic 47 Pepsi 37 Based on data from the Los Angeles Times.Applications Set up and solve the required proportion. Wallpapering Read the instructions on the label of wallpaper adhesive. Estimate the amount of adhesive needed to paper 500 square feet of kitchen walls if a heavy wallpaper will be used.Applications Set up and solve the required proportion. Recommended dosages The recommended childs dose of the sedative hydroxine is 0.006 gram per kilogram of body mass. Find the dosage for a 30-kilogram child in milligrams.37E38E39EApplications Set up and solve the required proportion. Heat dissipation The power, in watts, dissipated as heat in a resistor varies directly with the square of the voltage and inversely with the resistance. If 20 volts are placed across a 20-ohm resistor, it will dissipate 20 watts. What voltage across a 10-ohm resistor will dissipate 40 watts?41EApplications Set up and solve the required proportion. Frequency of vibration The pitch, or frequency, of a vibrating string varies directly with the square root of the tension. If a string vibrates at a frequency of 144 hertz due to a tension of 2 pounds, find the frequency when the tension is 18 pounds.43E44E45EApplications Set up and solve the required proportion. Heat dissipation The power, in watts, dissipated as heat in a resistor varies jointly with the resistance, in ohms, and the square of the current, in amperes. A 10-ohm resistor carrying a current of 1 ampere dissipates 10 watts. How much power is dissipated in a 5-ohm resistor carrying a current of 3 amperes?47E48E49EApplications Set up and solve the required proportion. Solid geometry The diagonal of a cube varies directly with the length of a side. Find the constant of proportionality.51E52E53E54E55E56E57E58E59E60E61ECritical Thinking In Exercises 59-62, match each variation sentence on the left with a variation equation on the right./i B varies inversely as the cube of r and jointly as s and the square of t. a. B=kst2r3 b. B=kt2r3 c. B=kr3t2 d. B=kr363E64E65E66E1E2E3E4E5E6E7E8E9E10E11E12E13E14E15E16E17E18ETarget heart rate The target heart rate f(x), in beats per minute, at which a person should train to get an effective workout is a function of the persons age x in years. If f(x)=0.6x+132, find the target heart rate for a 45-year-old college professor.20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36EDepreciation A Ford Mustang purchased for 18,750 is expected to depreciate according to the formula f(x)=2200x+18,750, where f(x) is the value of the Mustang after x years. Find its value after 3 years.House appreciation A house purchased for 250,000 is expected to appreciate according to the formula f(x)=16,500x+250,000, where f(x) is the value of the house after x years. Find its value of the house 5 years later.39E40EFind the length of the segment PQ. P(3,9);Q(3,7)42E43E44E45E46E47E48E49E50E51E52E53E54E55E56E57E58E59E60E61E62E63E64E65E66E67E68E69E70E71E72E73E74E75E76E77E78E79E80E81E82E83E84E85E86E87EPaying for college Rolf must earn 5040 for next semesters tuition. Assume he works x hours tutoring algebra at 14 per hour and y hours tutoring Spanish at 18 per hour and makes his goal. Write an equation expressing the relationship between x and y, and graph the equation. If Rolf tutors algebra for 180 hours, how long must he tutor Spanish?89E90E91E92E93E94E95E96E97E98E99E100E101E102E103E104E105E106E107E108E109E110E111E112E113E114E115E116E117E118E119E120E121E122E123E124E125E